Numerical solutions of nonlinear fractional differential equations by variational iteration method

Nagdy, A. S. ¹ ; Hashem, KH. M. ¹

¹ Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt

Journal of nonlinear sciences and its applications, Tome 14 (2021) no. 2, p. 54-62.

Résumé

In this paper, numerical techniques are used for solving boundary value problems of nonlinear fractional differential equations. Variational iteration method is applied to approximate solutions for this equation with boundary conditions. Numerical examples are presented to illustrate the efficiency and accuracy of the proposed method, and we compare between the numerical solutions and the exact solution of these examples.

Détail

DOI : 10.22436/jnsa.014.02.01

Classification : 6SD30, 65R20, 45F05, 26A33
Keywords: Variational iteration method, Caputo fractional derivative, nonlinear of fractional differential equations

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